Density of states of two-dimensional systems with long-range logarithmic interactions

Somoza, A. M.; Ortuño, M.; Baturina, T. I.; Vinokur, V. M.

doi:10.1103/physrevb.92.064201

Cited by 4 publications

(5 citation statements)

References 34 publications

(35 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This charging energy opens a gap in the singleparticle density of states. In the presence of disorder, extending Efros and Shklovskii's argument for the Coulomb gap 37 to our logarithmic interaction, Eq. ( 3), one obtains an exponential density of states around the Fermi level with a characteristic energy kT 0 proportional to this charging energy 37,38 .…”

Section: Activated Behaviorsupporting

confidence: 68%

“…In the presence of disorder, extending Efros and Shklovskii's argument for the Coulomb gap 37 to our logarithmic interaction, Eq. ( 3), one obtains an exponential density of states around the Fermi level with a characteristic energy kT 0 proportional to this charging energy 37,38 . Extending Mott's VRH argument to this density of states results in an activated conductivity with logarithmic corrections 26,39 .…”

Section: Activated Behaviorsupporting

confidence: 68%

See 1 more Smart Citation

Overactivated transport in the localized phase of the superconductor-insulator transition

et al. 2021

View full text Add to dashboard Cite

Beyond a critical disorder, two-dimensional (2D) superconductors become insulating. In this Superconductor-Insulator Transition (SIT), the nature of the insulator is still controversial. Here, we present an extensive experimental study on insulating NbxSi1−x close to the SIT, as well as corresponding numerical simulations of the electrical conductivity. At low temperatures, we show that electronic transport is activated and dominated by charging energies. The sample thickness variation results in a large spread of activation temperatures, fine-tuned via disorder. We show numerically and experimentally that this originates from the localization length varying exponentially with thickness. At the lowest temperatures, there is an increase in activation energy related to the temperature at which this overactivated regime is observed. This relation, observed in many 2D systems shows that conduction is dominated by single charges that have to overcome the gap when entering superconducting grains.

show abstract

Section: Activated Behaviorsupporting

confidence: 68%

Section: Activated Behaviorsupporting

confidence: 68%

Overactivated transport in the localized phase of the superconductor-insulator transition

et al. 2021

View full text Add to dashboard Cite

show abstract

“…Numerical and analytical studies by Somoza et al investigated the density of states of two-dimensional systems with logarithmic interactions at zero and finite temperatures [31]. They confirmed that their results from the two approaches are in perfect agreement at zero temperature.…”

Section: Introductionsupporting

confidence: 62%

“…Analogous to the Coulomb glass, the Bose glass is composed of long-range interacting "particles" and spatial disorder, and hence this model's density of states was confirmed to similarly display a soft gap [27,28], and the nonequilibrium relaxation dynamics display rich aging and scaling properties [29,30]. Numerical and analytical studies by Somoza et al investigated the density of states of two-dimensional systems with logarithmic interactions at zero and finite temperatures [31]. They confirmed that their results from the two approaches are in perfect agreement at zero temperature.…”

Section: Introductionmentioning

confidence: 98%

Structural relaxation and aging scaling in the Coulomb and Bose glass models

et al. 2016

View full text Add to dashboard Cite

Abstract. We employ Monte Carlo simulations to study the relaxation properties of the two-dimensional Coulomb glass in disordered semiconductors and the three-dimensional Bose glass in type-II superconductors in the presence of extended linear defects. We investigate the effects of adding non-zero random on-site energies from different distributions on the properties of the correlation-induced Coulomb gap in the density of states (DOS) and on the non-equilibrium aging kinetics highlighted by the density autocorrelation functions. We also probe the sensitivity of the system's equilibrium and non-equilibrium relaxation properties to instantaneous changes in the density of charge carriers in the Coulomb glass or flux lines in the Bose glass.

show abstract

“…Extending Efros and Shklovskii's argument for the Coulomb gap to this interaction, one obtains a DOS growing exponentially with energy, starting from an exponentially small value at the Fermi level. [ 33,34 ]…”

Section: Hopping Conductionmentioning

confidence: 99%

Numerical Simulations of Variable‐Range Hopping

Ortuño

Estellés-Duart

Somoza

2021

Physica Status Solidi (b)

Self Cite

View full text Add to dashboard Cite

Numerical simulations of variable‐range hopping in 2D and 3D systems with states localized by the disorder are reviewed. Both interacting and noninteracting systems are considered. After reviewing the main theories for variable‐range hopping, Mott's and Efros and Shkolvskii's, the numerical techniques are presented that are employed for this problem. Existing results are presented and some new ones obtained for this contribution, concentrating on the value of the proportionality constant on the characteristic temperatures of the different conduction laws and on the form of the pre‐exponential factor.

show abstract

Density of states of two-dimensional systems with long-range logarithmic interactions

Cited by 4 publications

References 34 publications

Overactivated transport in the localized phase of the superconductor-insulator transition

Overactivated transport in the localized phase of the superconductor-insulator transition

Structural relaxation and aging scaling in the Coulomb and Bose glass models

Numerical Simulations of Variable‐Range Hopping

Contact Info

Product

Resources

About